Concept

Torsion-free module

Related publications (33)

Towards Motion Forecasting with Real-World Perception Inputs: Are End-to-End Approaches Competitive?

Motion forecasting is crucial in enabling autonomous vehicles to anticipate the future trajectories of surrounding agents. To do so, it requires solving mapping, detection, tracking, and then forecasting problems, in a multi-step pipeline. In this complex ...

2024

Correspondence functors and duality

Jacques Thévenaz, Serge Bouc

A correspondence functor is a functor from the category of finite sets and correspondences to the category of k-modules, where k is a commutative ring. By means of a suitably defined duality, new correspondence functors are constructed, having remarkable p ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2023

Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023

GAP: Differentially Private Graph Neural Networks with Aggregation Perturbation

Daniel Gatica-Perez, Sina Sajadmanesh

In this paper, we study the problem of learning Graph Neural Networks (GNNs) with Differential Privacy (DP). We propose a novel differentially private GNN based on Aggregation Perturbation (GAP), which adds stochastic noise to the GNN's aggregation functio ...

Berkeley2023

A system for providing neuromodulation, especially neurostimulation

Grégoire Courtine, Marco Capogrosso, Beatrice Barra

A system (10) for providing neuromodulation, especially neurostimulation, comprising - at least one neuromodulator (12) for neuromodulation of the cervical spinal cord, - at least one dorsal neuromodulation array (14) for providing neuromodulation to the c ...

2020

High-throughput and adaptive super-resolution fluorescence microscopy of organelles

Dora Mahecic

Fluorescence super-resolution microscopy has allowed unprecedented insight into the workings of biological systems below the diffraction limit of light. Over the past decade, it has overcome several challenges to deliver 3D, multi-color and faster imaging ...

EPFL2020

A system for planning and/or providing neuromodulation

Grégoire Courtine, Vincent Delattre, Marco Capogrosso, Fabien Bertrand Paul Wagner, Karen Minassian

The present invention relates to a system for planning and/or providing neuromodulation (10), especially neurostimulation, comprising - a stimulation related basic data storage module (28) for storing the stimulation related basic data, - a stimulation rel ...

2019

A system for planning and/or providing neuromodulation

Grégoire Courtine, Vincent Delattre, Marco Capogrosso, Fabien Bertrand Paul Wagner, Karen Minassian

The present invention relates to a system for planning and/or providing neuromodulation (10), especially neurostimulation, comprising: - first data input module (26) for stimulation related basic data, - a stimulation related basic data storage module (28) ...

2019

Correspondence functors and lattices

Jacques Thévenaz, Serge Bouc

A correspondence functor is a functor from the category of finite sets and correspondences to the category of k-modules, where k is a commutative ring. A main tool for this study is the construction of a correspondence functor associated to any finite latt ...

2019

Simple and projective correspondence functors

Jacques Thévenaz, Serge Bouc

A correspondence functor is a functor from the category of finite sets and correspondences to the category of k-modules, where k is a commutative ring. We determine exactly which simple correspondence functors are projective. We also determine which simple ...

2019

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Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023